Chapter 7 Stokes' Theorem
I'm excited. In this section we are going to crack open Stokes' Theorem. We've seen its little sibling back in 2D, namely Green's Theorem Circulation Form, which related adding up the circulation density over a region with the circulation around its boundary. Today we have to come up with the appropriate 3D analogue of circulation density and see how we can put together the analogous theorem in 3D. Along with next class's Divergence theorem, these two theorems are really the highwater mark of a journey in Calculus that we started back with the Fundamental Theorem of Calculus in Calculus I. Finally, we see the full picture.
